**Contemporary Mathematics**

Volume: 447;
2007;
256 pp;
Softcover

MSC: Primary 35; 47; 81;

Print ISBN: 978-0-8218-4241-6

Product Code: CONM/447

List Price: $86.00

AMS Member Price: $68.80

MAA Member Price: $77.40

**Electronic ISBN: 978-0-8218-8126-2
Product Code: CONM/447.E**

List Price: $86.00

AMS Member Price: $68.80

MAA Member Price: $77.40

# Adventures in Mathematical Physics

Share this page *Edited by *
*François Germinet; Peter D. Hislop*

This volume consists of refereed research articles written by some of the speakers at this international conference in honor of the sixty-fifth birthday of Jean-Michel Combes. The topics span modern mathematical physics with contributions on state-of-the-art results in the theory of random operators, including localization for random Schrödinger operators with general probability measures, random magnetic Schrödinger operators, and interacting multiparticle operators with random potentials; transport properties of Schrödinger operators and classical Hamiltonian systems; equilibrium and nonequilibrium properties of open quantum systems; semiclassical methods for multiparticle systems and long-time evolution of wave packets; modeling of nanostructures; properties of eigenfunctions for first-order systems and solutions to the Ginzburg-Landau system; effective Hamiltonians for quantum resonances; quantum graphs, including scattering theory and trace formulas; random matrix theory; and quantum information theory. Graduate students and researchers will benefit from the accessibility of these articles and their current bibliographies.

#### Readership

Graduate students and research mathematicians interested in mathematical physics and statistical mechanics.

# Table of Contents

## Adventures in Mathematical Physics

- Contents v6 free
- Preface vii8 free
- On the emptiness formation probability in quasi-free states 110 free
- Wegner-Stollmann type estimates for some quantum lattice systems 1726
- The mutually unbiased bases revisited 2938
- Perturbative vs. variational methods in the study of carbon nanotubes 4554
- Normal transport at positive temperatures in classical Hamiltonian open systems 5766
- Equivalence of resolvent and scattering resonances on quantum graphs 7382
- Optimal uniform elliptic estimates for the Ginzburg-Landau system 8392
- Localization for a continuum Cantor-Anderson Hamiltonian 103112
- Generalized fractal dimensions on the negative axis for non compactly supported measures 113122
- Localization for Schrödinger operators with random vector potentials 123132
- Vibrational levels associated with hydrogen bonds and semiclassical Hamiltonian normal forms 139148
- On the strict positivity of entropy production 153162
- Uniqueness results for transient dynamics of quantum systems 165174
- Heat kernels on metric graphs and a trace formula 175184
- On a random matrix model of quantum relaxation 199208
- Revivals of wave packets and Bohr-Sommerfeld quantization rules 219228
- On a linear stochastic wave equation modeling heat flow 237246
- Exponential decay of eigenfunctions of first order systems 249258